2567616 has 56 divisors (see below), whose sum is σ = 6973824. Its totient is φ = 833280.

The previous prime is 2567611. The next prime is 2567623. The reversal of 2567616 is 6167652.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2567611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8101 + ... + 8411.

2^2567616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2567616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3486912).

2567616 is an abundant number, since it is smaller than the sum of its proper divisors (4406208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2567616 is a wasteful number, since it uses less digits than its factorization.

2567616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 359 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 2567616 is about 1602.3782325032. The cubic root of 2567616 is about 136.9335995202.

The spelling of 2567616 in words is "two million, five hundred sixty-seven thousand, six hundred sixteen".